Use the Divergence Test to determine whether the following series diverges or state that the test is inconclusive. k5 8 Σ k=0 10k5 +1 Select the correct answer below and fill in the answer box to complete your choice. OA. According to the Divergence Test, the series converges because lim ak = 814 (Simplify your answer.) OB. According to the Divergence Test, the series diverges because lim ak = k→∞ (Simplify your answer.) OC. The Divergence Test is inconclusive because lim ak = k→∞ (Simplify your answer.) D. The Divergence Test is inconclusive because lim ak does not exist. k→∞
Use the Divergence Test to determine whether the following series diverges or state that the test is inconclusive. k5 8 Σ k=0 10k5 +1 Select the correct answer below and fill in the answer box to complete your choice. OA. According to the Divergence Test, the series converges because lim ak = 814 (Simplify your answer.) OB. According to the Divergence Test, the series diverges because lim ak = k→∞ (Simplify your answer.) OC. The Divergence Test is inconclusive because lim ak = k→∞ (Simplify your answer.) D. The Divergence Test is inconclusive because lim ak does not exist. k→∞
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.3: Geometric Sequences
Problem 49E
Related questions
Question
Does the following series diverge or is it inconclusive?
![Use the Divergence Test to determine whether the following series diverges or state that the test is inconclusive.
∞
Σ
k=0
5
10k +1
Select the correct answer below and fill in the answer box to complete your choice.
O A. According to the Divergence Test, the series converges because lim ak =
k→∞
(Simplify your answer.)
=
B. According to the Divergence Test, the series diverges because lim ak=
k→∞
(Simplify your answer.)
OC. The Divergence Test is inconclusive because lim ak =
k→∞
(Simplify your answer.)
OD. The Divergence Test is inconclusive because lim ak does not exist.
k→∞](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F162cd3e7-20fe-4b15-b054-73327c670c5f%2Fade153a5-71dd-4190-a7fc-68639387c93a%2Fm5g35z_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Use the Divergence Test to determine whether the following series diverges or state that the test is inconclusive.
∞
Σ
k=0
5
10k +1
Select the correct answer below and fill in the answer box to complete your choice.
O A. According to the Divergence Test, the series converges because lim ak =
k→∞
(Simplify your answer.)
=
B. According to the Divergence Test, the series diverges because lim ak=
k→∞
(Simplify your answer.)
OC. The Divergence Test is inconclusive because lim ak =
k→∞
(Simplify your answer.)
OD. The Divergence Test is inconclusive because lim ak does not exist.
k→∞
Expert Solution
![](/static/compass_v2/shared-icons/check-mark.png)
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 3 steps with 2 images
![Blurred answer](/static/compass_v2/solution-images/blurred-answer.jpg)
Recommended textbooks for you
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage